Math Problem : GGG.3 Multiple of continued integers

Answer the following questions.

(1) When all the integers from 1 to 2007 are multiplied, how many is 0 lined continuously from ones digit?

(2) When all continuous integers from A to B are multiplied, it is expressed as (A,B) that the number other than 0 appears first in the multiplied number checked sequentially from the ones digit.

For example, since 1 × 2 × 3 × 4 × 5 = 120, (1, 5) = 2.

(2)-1 Find (1, 10).

(2)-2 Find (121,130).













Answer
(1) 500
(2)-1     8
(2)-2     6